11205306 has 48 divisors (see below), whose sum is σ = 28027584. Its totient is φ = 3169152.

The previous prime is 11205289. The next prime is 11205323. The reversal of 11205306 is 60350211.

It is an interprime number because it is at equal distance from previous prime (11205289) and next prime (11205323).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13845 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (583908).

Almost surely, 2^11205306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013792).

11205306 is an abundant number, since it is smaller than the sum of its proper divisors (16822278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11205306 is a wasteful number, since it uses less digits than its factorization.

11205306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11205306 is about 3347.4327476441. The cubic root of 11205306 is about 223.7731147640.

Adding to 11205306 its reverse (60350211), we get a palindrome (71555517).

It can be divided in two parts, 11205 and 306, that added together give a palindrome (11511).

The spelling of 11205306 in words is "eleven million, two hundred five thousand, three hundred six".